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Finding the Third Proportional to 11,197.69 and 16,922.53

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Solution

The third proportional to 11,197.69 and 16,922.53 is: 25,574.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197.69 : 16,922.53 = 16,922.53 : x
  2. Step 2: Convert to fraction form
    11,197.69/16,922.53 = 16,922.53/x
  3. Step 3: Cross multiply
    11,197.69x = 16,922.53 × 16,922.53
  4. Step 4: Simplify right side
    11,197.69x = 286,372,063.91
  5. Step 5: Solve for x
    x = 286,372,063.91/11,197.69
  6. Step 6: Final answer
    x = 25,574.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.